Suppression of Bose-Einstein condensation in one-dimensional scale-free random potentials

Journal Article · Mon Nov 01 04:00:00 EDT 2010 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.82.172201· OSTI ID:21502867

Oliveira, I N. de; Caetano, R A; Lyra, M L ^[1]

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1. Instituto de Fisica, Universidade Federal de Alagoas, 57072-970 Maceio, AL (Brazil)

A perfect Bose gas can condensate in one dimension in the presence of a random potential due to the presence of Lifshitz tails in the one-particle density of states. Here, we show that scale-free correlations in the random potential suppress the disorder induced Bose-Einstein condensation (BEC). Within a tight-binding approach, we consider free Bosons moving in a scale-free correlated random potential with spectral density decaying as 1/k{sup {alpha}}. The critical temperature for BEC is shown to vanish in chains with a binary nonstationary potential ({alpha}>1). On the other hand, a weaker suppression of BEC takes place in nonbinarized scale-free potentials. After a slightly increase in the stationary regime, the BEC transition temperature continuously decays as the spectral exponent {alpha}{yields}{infinity}.

• OSTI ID: 21502867
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 17 Vol. 82; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
BOSONS
CHAINS
CONDENSATES
CORRELATIONS
CRITICAL TEMPERATURE
DENSITY
FUNCTIONS
ONE-DIMENSIONAL CALCULATIONS
PARTICLES
PHYSICAL PROPERTIES
RANDOMNESS
SPECTRAL DENSITY
SPECTRAL FUNCTIONS
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE